A relatively elastic ball is thrown from the top of a building to eventually bounce once off of the concrete sidewalk, only to then collide with a region of sticky tape coating a more distant location of the sidewalk, as shown in the figure below. Some facts are known about the process. The ball is initially thrown at an angle, = 30.0, above the horizontal, but at an unknown speed. The height of the building is H = 10.0 m. The vertical speed of the ball is the only component that is altered during the bouncing event, and its vertical speed immediately after the bounce is 40% of the vertical speed immediately before the bounce. The amount of horizontal distance covered by the ball after the bounce is D = 5.0 m. During the bouncing process, the ball is in contact with the concrete for 0.030 s. For the parts that follow, show all of your work and reasoning while adopting a clearly defined coordinate system. (a)  Determine the speed with which the ball was initially thrown.  (b)  Determine the ratio of the horizontal range of the ball before the bounce to the horizontal range of the ball after the bounce.  (c)  Determine the ratio of the maximum height reached by the ball before the bounce to the maximum height reached by the ball after the bounce (both measured relative to the ground).

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
icon
Related questions
Question

A relatively elastic ball is thrown from the top of a building to eventually bounce once off of the concrete sidewalk, only to then collide with a region of sticky tape coating a more distant location of the sidewalk, as shown in the figure below. Some facts are known about the process.

The ball is initially thrown at an angle, = 30.0, above the horizontal, but at an unknown speed.

The height of the building is H = 10.0 m.

The vertical speed of the ball is the only component that is altered during the bouncing event, and its vertical speed immediately after the bounce is 40% of the vertical speed immediately before the bounce.

The amount of horizontal distance covered by the ball after the bounce is D = 5.0 m. During the bouncing process, the ball is in contact with the concrete for 0.030 s.

For the parts that follow, show all of your work and reasoning while adopting a clearly defined coordinate system.

  1. (a)  Determine the speed with which the ball was initially thrown. 

  2. (b)  Determine the ratio of the horizontal range of the ball before the bounce to the horizontal range of the

    ball after the bounce. 

  3. (c)  Determine the ratio of the maximum height reached by the ball before the bounce to the maximum height

    reached by the ball after the bounce (both measured relative to the ground). 

  4. (d)  Determine the average acceleration vector of the ball during the bouncing process. 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Design of Mechanical Springs
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY